TITLE:
Modified Double Zeta Function and Its Properties
AUTHORS:
Arif M. Khan
KEYWORDS:
Modified Zeta Function, Riemann-Liouville Operator, Tremblay Fractional Operators, Hypergeometric Function
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.6 No.3,
February
29,
2016
ABSTRACT: The
present paper aims at introducing and investigating a new class of generalized
double zeta function i.e. modified
double zeta function which involves the Riemann, Hurwitz, Hurwitz-Lerch, Barnes
double zeta function and Bin-Saad generalized double zeta function as
particular cases. The results are obtained by suitably applying
Riemann-Liouville type and Tremblay fractional integral and differential
operators. We derive the expansion formula for the proposed function with some
of its properties via fractional operators and discuss the link with known
results.